# Monte Pi

Set Framerate### Start

Enter the number of times you want the experiment in the box above and click on Simulate

### Method

The Monte Carlo method relies on repeated random sampling to simulate some process or compute a value.

Pi can be computed using Monte Carlo simulation through a series of experiments. Here is a single experiment:

- Choose a pair of random floating point numbers between 0 and 1
- Call the numbers x and y, think of (x,y) as a point on the plane in the unit square
- Test whether the point falls within the unit circle by measuring the distance from the point to the origin

Now suppose you do `m`

experiments and in `n`

of those experiments, the random point chosen falls within the upper right quarter of the unit circle. Since the area of a circle is known to be `pi * r^2`

and the area of a square is `r^2`

(and here we are dealing with a radius/square side of length 1), the following equations hold: